結果

問題 No.1197 モンスターショー
ユーザー ei1333333ei1333333
提出日時 2020-08-22 14:02:42
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 376 ms / 3,000 ms
コード長 7,101 bytes
コンパイル時間 2,334 ms
コンパイル使用メモリ 204,480 KB
実行使用メモリ 24,448 KB
最終ジャッジ日時 2024-04-23 17:50:57
合計ジャッジ時間 10,845 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 1 ms
6,940 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 1 ms
6,940 KB
testcase_06 AC 1 ms
6,944 KB
testcase_07 AC 114 ms
19,584 KB
testcase_08 AC 93 ms
12,672 KB
testcase_09 AC 185 ms
19,840 KB
testcase_10 AC 233 ms
19,200 KB
testcase_11 AC 129 ms
8,832 KB
testcase_12 AC 64 ms
6,940 KB
testcase_13 AC 89 ms
14,080 KB
testcase_14 AC 191 ms
14,464 KB
testcase_15 AC 121 ms
8,448 KB
testcase_16 AC 264 ms
22,912 KB
testcase_17 AC 258 ms
23,168 KB
testcase_18 AC 106 ms
9,856 KB
testcase_19 AC 237 ms
19,200 KB
testcase_20 AC 52 ms
8,704 KB
testcase_21 AC 92 ms
6,940 KB
testcase_22 AC 16 ms
6,944 KB
testcase_23 AC 226 ms
15,488 KB
testcase_24 AC 167 ms
15,232 KB
testcase_25 AC 94 ms
11,136 KB
testcase_26 AC 135 ms
11,520 KB
testcase_27 AC 203 ms
21,120 KB
testcase_28 AC 180 ms
12,672 KB
testcase_29 AC 131 ms
14,976 KB
testcase_30 AC 119 ms
16,640 KB
testcase_31 AC 113 ms
13,440 KB
testcase_32 AC 95 ms
6,944 KB
testcase_33 AC 74 ms
11,136 KB
testcase_34 AC 339 ms
24,320 KB
testcase_35 AC 316 ms
24,320 KB
testcase_36 AC 376 ms
24,320 KB
testcase_37 AC 337 ms
24,448 KB
testcase_38 AC 334 ms
24,320 KB
testcase_39 AC 334 ms
24,320 KB
testcase_40 AC 360 ms
24,448 KB
testcase_41 AC 2 ms
6,940 KB
testcase_42 AC 1 ms
6,940 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include<bits/stdc++.h>

using namespace std;

using int64 = long long;
const int mod = 1e9 + 7;
// const int mod = 998244353;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;


template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
  os << p.first << " " << p.second;
  return os;
}

template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
  is >> p.first >> p.second;
  return is;
}

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
  for(int i = 0; i < (int) v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
  for(T &in : v) is >> in;
  return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = int64 >
vector< T > make_v(size_t a) {
  return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
  return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
  t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
  for(auto &e : t) fill_v(e, v);
}

template< typename F >
struct FixPoint : F {
  FixPoint(F &&f) : F(forward< F >(f)) {}

  template< typename... Args >
  decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, forward< Args >(args)...);
  }
};

template< typename F >
inline decltype(auto) MFP(F &&f) {
  return FixPoint< F >{forward< F >(f)};
}

template< typename SUM, typename KEY >
struct LinkCutTreeSubtree {

  struct Node {
    Node *l, *r, *p;

    KEY key;
    SUM sum;

    bool rev;
    int sz;

    bool is_root() const {
      return !p || (p->l != this && p->r != this);
    }

    Node(const KEY &key, const SUM &sum) :
        key(key), sum(sum), rev(false), sz(1),
        l(nullptr), r(nullptr), p(nullptr) {}
  };

  const SUM ident;

  LinkCutTreeSubtree(const SUM &ident) : ident(ident) {}

  Node *make_node(const KEY &key) {
    auto ret = new Node(key, ident);
    update(ret);
    return ret;
  }

  Node *set_key(Node *t, const KEY &key) {
    expose(t);
    t->key = key;
    update(t);
    return t;
  }

  void toggle(Node *t) {
    swap(t->l, t->r);
    t->sum.toggle();
    t->rev ^= true;
  }

  void push(Node *t) {
    if(t->rev) {
      if(t->l) toggle(t->l);
      if(t->r) toggle(t->r);
      t->rev = false;
    }
  }


  void update(Node *t) {
    t->sz = 1;
    if(t->l) t->sz += t->l->sz;
    if(t->r) t->sz += t->r->sz;
    t->sum.merge(t->key, t->l ? t->l->sum : ident, t->r ? t->r->sum : ident);
  }

  void rotr(Node *t) {
    auto *x = t->p, *y = x->p;
    if((x->l = t->r)) t->r->p = x;
    t->r = x, x->p = t;
    update(x), update(t);
    if((t->p = y)) {
      if(y->l == x) y->l = t;
      if(y->r == x) y->r = t;
      update(y);
    }
  }

  void rotl(Node *t) {
    auto *x = t->p, *y = x->p;
    if((x->r = t->l)) t->l->p = x;
    t->l = x, x->p = t;
    update(x), update(t);
    if((t->p = y)) {
      if(y->l == x) y->l = t;
      if(y->r == x) y->r = t;
      update(y);
    }
  }


  void splay(Node *t) {
    push(t);
    while(!t->is_root()) {
      auto *q = t->p;
      if(q->is_root()) {
        push(q), push(t);
        if(q->l == t) rotr(t);
        else rotl(t);
      } else {
        auto *r = q->p;
        push(r), push(q), push(t);
        if(r->l == q) {
          if(q->l == t) rotr(q), rotr(t);
          else rotl(t), rotr(t);
        } else {
          if(q->r == t) rotl(q), rotl(t);
          else rotr(t), rotl(t);
        }
      }
    }
  }


  Node *expose(Node *t) {
    Node *rp = nullptr;
    for(auto *cur = t; cur; cur = cur->p) {
      splay(cur);
      if(cur->r) cur->sum.add(cur->r->sum);
      cur->r = rp;
      if(cur->r) cur->sum.erase(cur->r->sum);
      update(cur);
      rp = cur;
    }
    splay(t);
    return rp;
  }

  void link(Node *child, Node *parent) {
    expose(child);
    expose(parent);
    child->p = parent;
    parent->r = child;
  }

  void cut(Node *child) {
    expose(child);
    auto *parent = child->l;
    child->l = nullptr;
    parent->p = nullptr;
    update(child);
  }

  void evert(Node *t) {
    expose(t);
    toggle(t);
    push(t);
  }

  Node *lca(Node *u, Node *v) {
    if(get_root(u) != get_root(v)) return nullptr;
    expose(u);
    return expose(v);
  }


  Node *get_kth(Node *x, int k) {
    expose(x);
    while(x) {
      push(x);
      if(x->r && x->r->sz > k) {
        x = x->r;
      } else {
        if(x->r) k -= x->r->sz;
        if(k == 0) return x;
        k -= 1;
        x = x->l;
      }
    }
    return nullptr;
  }

  Node *get_root(Node *x) {
    expose(x);
    while(x->l) {
      push(x);
      x = x->l;
    }
    return x;
  }
};

int main() {


  struct Sum {
    int64 all, pdist, cdist, sz, mdist, msz;

    Sum() : all(0), pdist(0), cdist(0), sz(0), mdist(0), msz(0) {}

    void toggle() {
      swap(pdist, cdist);
    }

    void merge(int key, const Sum &parent, const Sum &child) {
      int sw = 0;
      if(key < 0) {
        sw = -key;
        key = 0;
      }
      all = parent.all + key + child.all;
      pdist = parent.pdist + (key + child.all) * (parent.sz + sw + msz) + child.pdist + mdist;
      cdist = child.cdist + (key + parent.all) * (child.sz + sw + msz) + parent.cdist + mdist;
      sz = parent.sz + child.sz + msz + sw;
    }

    void add(const Sum &chsum) {
      mdist += chsum.cdist;
      msz += chsum.sz;
    }

    void erase(const Sum &chsum) {
      mdist -= chsum.cdist;
      msz -= chsum.sz;
    }
  } e;
  int N, K, Q;
  cin >> N >> K >> Q;
  vector< int > C(K);
  cin >> C;
  vector< int > add(N);
  for(auto &p : C) {
    --p;
    add[p]++;
  }
  using LCT = LinkCutTreeSubtree< Sum, int >;
  LCT lct(e);
  vector< LCT::Node * > vs(N), es(N);
  for(int i = 0; i < N; i++) {
    vs[i] = lct.make_node(-add[i]);
  }
  for(int i = 1; i < N; i++) {
    int a, b;
    cin >> a >> b;
    --a, --b;
    lct.evert(vs[a]);
    lct.evert(vs[b]);
    es[i] = lct.make_node(1);
    lct.link(vs[a], es[i]);
    lct.link(vs[b], es[i]);
  }

  while(Q--) {
    int t;
    cin >> t;
    if(t == 1) {
      int p, d;
      cin >> p >> d;
      --p, --d;
      lct.expose(vs[C[p]]);
      vs[C[p]]->key++;
      add[C[p]]--;
      lct.update(vs[C[p]]);
      C[p] = d;
      add[C[p]]++;
      lct.expose(vs[C[p]]);
      vs[C[p]]->key--;
      add[C[p]]--;
      lct.update(vs[C[p]]);
    } else {
      int f;
      cin >> f;
      --f;
      lct.evert(vs[f]);
      cout << vs[f]->sum.cdist << "\n";
    }
  }
}
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